608,356

2² × 7 × 21727

608,356 factors as 2^2 × 7 × 21727. Its 12 positive divisors give a proper-divisor sum of 608,412, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 21727

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,216,768

Proper Divisor Sum 608,412

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #608347 ← → #608357

Radix Representation

Decimal	608356
Binary	10010100100001100100 (20 bits)
Octal	0o2244144
Hexadecimal	0x94864

Divisor Catalog (12)

1 2 4 7 14 28 21,727 43,454 86,908 152,089 304,178 608,356

Collatz Trajectory (172 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

608,356 304,178 152,089 456,268 228,134 114,067 342,202 171,101 513,304 256,652 128,326 64,163 192,490 96,245 288,736 144,368 72,184 36,092 18,046 9,023 27,070 13,535 40,606 20,303 60,910 30,455 91,366 45,683 137,050 68,525 205,576 102,788 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164

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